On generalized Lipschitz classes and Fourier series
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Publication:1770175
DOI10.4171/ZAA/1220zbMath1065.26005MaRDI QIDQ1770175
Publication date: 11 April 2005
Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)
Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Lipschitz (Hölder) classes (26A16) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)
Related Items (29)
Unnamed Item ⋮ Trigonometric series with general monotone coefficients ⋮ Boas-type theorems for Laguerre type operator ⋮ Trigonometric series of Nikol'skii classes ⋮ Absolutely convergent Fourier-Bessel series and generalized Lipschitz classes ⋮ Mellin integral transforms and generalized Lipschitz and Zygmund spaces ⋮ Fourier cosine and sine transforms and generalized Lipschitz classes in the uniform metric ⋮ Multiple sine series and Nikol'skii classes in uniform metric ⋮ Dual Boas type results for the quaternion transform and generalized Lipschitz spaces ⋮ Transformation of Fourier series by means of general monotone sequences ⋮ Absolutely convergent Fourier–Jacobi series and generalized Lipschitz classes ⋮ Boas-type results for Mellin transform ⋮ Laguerre-Bessel transform and generalized Lipschitz classes ⋮ Boas type and Titchmarsh type theorems for generalized Fourier-Bessel transform ⋮ Generalized Lipschitz conditions for absolute convergence of weighted Jacobi-Dunkl series ⋮ Boas type results for two-sided quaternion Fourier transform and uniform Lipschitz spaces ⋮ Fourier transforms and fractional Lipschitz and Nikol'skii classes in uniform metric ⋮ Absolutely convergent \(q\)-Dunkl integrals and classical function spaces ⋮ Quaternion Fourier transform and generalized Lipschitz classes ⋮ Sectorial extensions, via Laplace transforms, in ultraholomorphic classes defined by weight functions ⋮ Sharp estimates of approximation of periodic functions in Hölder spaces ⋮ Fourier transforms and generalized Lipschitz classes in uniform metric ⋮ Boas-type theorems for the \(q\)-Bessel Fourier transform ⋮ Injectivity and surjectivity of the asymptotic Borel map in Carleman ultraholomorphic classes ⋮ Boas-type theorems for the Bessel transform ⋮ Decay of Fourier Transforms and Generalized Besov Spaces ⋮ Smoothness of functions versus smoothness of approximation processes ⋮ Multiple Fourier coefficients and generalized Lipschitz classes in uniform metric ⋮ Fourier-Dunkl transforms and generalized symmetric Lipschitz classes
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